Assume an, bn and care sequences of real numbers. Prove each of the following deductions.(a) an3bn, bn 4,an → 12.(b) lan51 ≤ 2|bn31, bn3, an→ 5.(c) an = 3bn +7cn,(d) an = bn Cn, bnHint: (BC-16) ==-bn → 4, Cn2, an → 26.4, Cn → 4 :: An → 16.(B − 4)(C − 4) + 4(C − 4) + 4(B − 4)

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Answered: sume añ, b₁ and care sequences of real…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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sume añ, b₁ and care sequences of real numbers. Prove each of the following deductions. an = 3bn, bn4, an 12. lan 5 ≤ 2|bn 31, bn → 3, . an → 5. an = 3bn +7cn, bn →4, Cn2, an → 26.